A) \[\frac{1}{128}\]
B) 32
C) 128
D) none of these
Correct Answer: C
Solution :
In an adiabatic process \[P{{V}^{\gamma }}=\] constant Now, volume \[=\frac{mass}{density}\] i.e., \[V=\frac{M}{d}\] \[\therefore \] \[P{{\left[ \frac{M}{d} \right]}^{\gamma }}=\] constant or \[\frac{P}{{{d}^{\gamma }}}=a\], new constant, or \[\frac{P}{{{d}^{\gamma }}}=\frac{P}{{{d}^{\gamma }}}\] or \[\frac{P}{P}={{\left( \frac{P}{d} \right)}^{\gamma }}\] but \[\frac{P}{d}=32\] and \[\gamma =\frac{7}{5}\] \[\therefore \] \[\frac{P}{P}={{(327)}^{7/5}}={{\left[ {{(3\,2)}^{1/5}} \right]}^{7}}\] \[={{2}^{7}}\] = 128
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